Probabilistic Weighted Automata

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Probabilistic Weighted Automata
Nondeterministic weighted automata are finite automata with numerical weights on transitions. They define quantitative languages L that assign to each word w a real number L(w). The value of an infinite word w is computed as the maximal value of all runs over w, and the value of a run as the supremum, limsup, liminf, limit average, or discounted sum of the transition weights. We introduce probabilistic weighted automata, in which the transitions are chosen in a randomized (rather than nondeterministic) fashion. Under almost-sure semantics (resp. positive semantics), the value of a word w is the largest real v such that the runs over w have value at least v with probability 1 (resp. positive probability). We study the classical questions of automata theory for probabilistic weighted automata: emptiness and universality, expressiveness, and closure under various operations on languages. For quantitative languages, emptiness and universality are defined as whether the value of some (r...
Krishnendu Chatterjee, Laurent Doyen, Thomas A. He
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Authors Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger
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